To solve the bid price problem presented in the text, we set the project NPV equal to zero and found the required price using the definition of OCF. Thus the bid price represents a financial break$-$even level for the project. This type of analysis can be extended to many other types of problems.

Kyrou Enterprises needs someone to supply it with $100,000$ cartons of machine screws per year to support its manufacturing needs over the next five years, and you've decided to bid on the contract. It will cost you $\backslash (\backslash$$ $920,000\backslash )$ to install the equipment necessary to start production; you'll depreciate this cost straight$-$line to zero over the project's life. You estimate that, in five years, this equipment can be salvaged for $\backslash (\backslash$$ $75,000\backslash ).$ Your fixed production costs will be $\backslash (\backslash$$ $825,000\backslash )$ per year, and your variable production costs should be $\backslash (\backslash$$ $21\mathrm{.}43\backslash )$ per carton. You also need an initial investment in net working capital of $\backslash (\backslash$$ $90,000\backslash ).$ Assume your tax rate is $21$ percent and you require a $12$ percent return on your investment.

a$.$ Assuming that the price per carton is $\backslash (\backslash$$ $33\backslash ),$ what is the NPV of this project?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

b$.$ Assuming that the price per carton is $\backslash (\backslash$$ $33\backslash ),$ find the quantity of cartons per year that you can supply and still break even. $($Hint$.$ It's less than $100,000.)$

Note: Do not round intermediate calculations and round your answer to the nearest whole number.

c$.$ Assuming that the price per carton is $\backslash (\backslash$$ $33\backslash ),$ find the highest level of fixed costs you could afford each year and still break even. $($Hint$.$ It's more than $\backslash (\backslash$$ $825,000\backslash ).)$

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$